The opposite of -36 is equal to 36
The function is
![f(x)= x^{5} -9x ^{3}](https://tex.z-dn.net/?f=f%28x%29%3D%20x%5E%7B5%7D%20-9x%20%5E%7B3%7D%20)
1. let's factorize the expression
![x^{5} -9x ^{3}](https://tex.z-dn.net/?f=x%5E%7B5%7D%20-9x%20%5E%7B3%7D%20)
:
![f(x)= x^{5} -9x ^{3}= x^{3} ( x^{2} -9)=x^{3}(x-3)(x+3)](https://tex.z-dn.net/?f=f%28x%29%3D%20x%5E%7B5%7D%20-9x%20%5E%7B3%7D%3D%20x%5E%7B3%7D%20%28%20x%5E%7B2%7D%20-9%29%3Dx%5E%7B3%7D%28x-3%29%28x%2B3%29)
the zeros of f(x) are the values of x which make f(x) = 0.
from the factorized form of the function, we see that the roots are:
-3, multiplicity 1
3, multiplicity 1
0, multiplicity 3
(the multiplicity of the roots is the power of each factor of f(x) )
2.
The end behavior of f(x), whose term of largest degree is
![x^{5}](https://tex.z-dn.net/?f=%20x%5E%7B5%7D%20)
, is the same as the end behavior of
![x^{3}](https://tex.z-dn.net/?f=%20x%5E%7B3%7D%20)
, which has a well known graph. Check the picture attached.
(similarly the end behavior of an even degree polynomial, could be compared to the end behavior of
![x^{2}](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20)
)
so, like the graph of
![x^{3}](https://tex.z-dn.net/?f=%20x%5E%7B3%7D%20)
, the graph of
![f(x)= x^{5} -9x ^{3}](https://tex.z-dn.net/?f=f%28x%29%3D%20x%5E%7B5%7D%20-9x%20%5E%7B3%7D%20)
:
"As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity. "
Answer:
28
Step-by-step explanation:
If 50% of students are boys that means there are 30 boys and 30 girls. Then if 30% of boys are 10 and 60% of girls are 18. You add 18+10 and that gives you 28.
Answer:
3rd answer
Step-by-step explanation:
It is an open circle and it has to be less than 15 and since it is a positive it is to the right